ASAP!!! PLEASE!!! THANK YOU

Answer:

780.714

Step-by-step explanation:

Answer:=781

Step-by-step explanation:

The future value of the annuity is approximately $17,636.45.

An annuity is a series of equal payments made at regular intervals. In this case, you started an annuity of $200 per month. The interest on the account is 3% compounded monthly.

To calculate the amount of money you will have in 3 years, we can use the formula for the future value of an annuity. The formula is:

FV = P * [(1 + r)^n - 1] / r

Where:
FV is the future value of the annuity
P is the monthly payment ($200)
r is the interest rate per period (3% per month, or 0.03)
n is the number of periods (3 years, or 36 months)

Plugging in the values into the formula, we have:

FV = 200 * [(1 + 0.03)^36 - 1] / 0.03

Calculating this expression, we find that the future value of the annuity is approximately $17,636.45.

Therefore, the correct answer is $17,636.45.

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There is two ordered pair greater tan 12 i.e., (2, 8) and (-6,0).

Given,

The equation is :

-5x - 3y = 12

To find the which ordered pair is a solution of above equation.

Now, According to the question:

-5x - 3y = 12

Value is (3, 9) of (x , y)

Substitute in above equation:

-5(3) - 3(9) = 12

-15 - 27 = 12

-42  ≠ 12

Values of (x , y)                                  Equation : -5x -3y = 12

(-5, 5)                                                         = - 10 < 12                                            

(3, -6)                                                         = -33 < 12

(-2, -5)                                                        = -25 < 12

(2, 8)                                                          =  14 > 12

(-6, 0)                                                         = 30 > 12

Hence, There is two ordered pair greater tan 12 i.e., (2, 8) and (-6,0).

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Heyo!

idqfxemo iis here to help!

The answer is...

A.

Hopefully, this helps you!!

idqfxemo~

Answer:

120

Step-by-step explanation:

it would be 3880

Step-by-step explanation:

The absolute value of the test statistic is 2.18. In hypothesis testing, we compare the test statistic to critical values to determine if we can reject the null hypothesis.

To test the claim that the proportion of women who voted for the proposition is greater than the proportion of men who voted for the proposition, we can use a two-sample z-test for proportions.

First, we calculate the sample proportions for women and men. For women, the sample proportion is 22/42 = 0.52, and for men, the sample proportion is 11/70 = 0.157.

Next, we calculate the standard error of the difference in proportions. Using the formula:

SE = sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes, we get:

SE = sqrt((0.52 * (1 - 0.52) / 42) + (0.157 * (1 - 0.157) / 70)) = 0.094

Now, we calculate the test statistic using the formula:

test statistic = (p1 - p2) / SE

Substituting the values, we have:

test statistic = (0.52 - 0.157) / 0.094 ≈ 2.18

The absolute value of the test statistic is 2.18. In hypothesis testing, we compare the test statistic to critical values to determine if we can reject the null hypothesis. If the absolute value of the test statistic is greater than the critical value, we have evidence to support the claim. In this case, if the critical value corresponds to a desired level of significance, and it is less than 2.18, we would reject the null hypothesis and conclude that the proportion of women who voted for the proposition is indeed greater than the proportion of men who voted for the proposition.

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By the degfinition of a congruent triangle, the statement that was made that ∆JOL and ∆IOM are congruent triangles is false.

The two triangles are said to be congruent triangles based on the fact that all of their corresponding sides are the same and said to be equal. Then all of the corresponding sides of the angles would also have an equa; measure.

The definition that I have given above says that the congruent triangles are those that have the same shapes and also have the same sizes. The corresponding sides of the angles and the sides would also be the same.

In the diagram that we have here, we can see that IOM and JOL do not have the same size. Hence the congruent law is not correct. To be congruent it would have to be that the the corresponding sides are the same and there is the equality in the angles of the triangles.

Since this property is not in the shape we would have to conclyde that the statement is wrong. They are not congruent triangles.

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The expression equivalent to\(-4x^2 + 2x - 5(1 + x)\)  is \(4x^2 + 8x + 5.\)

This expression matches the form \(x^2 + x + c,\) where c = 5.

To simplify the given expression \(-4x^2 + 2x - 5(1 + x)\) and make it equivalent to the expression \(x^2 + x + c,\) where c is a constant term, we need to perform some algebraic operations.

First, let's distribute the -5 to the terms inside the parentheses:

\(-4x^2 + 2x - 5 - 5x\)

Next, we can combine like terms:

\(-4x^2 + (2x - 5x) - 5 - 5x\)

Simplifying further:

\(-4x^2 - 3x - 5 - 5x\)

Now, let's rearrange the terms to match the form \(x^2 + x + c:\)

\(-4x^2 - 3x - 5x - 5\)

To make the leading coefficient positive, we can multiply the entire expression by -1:

\(4x^2 + 3x + 5x + 5\)

Now, we can combine the x-terms:

\(4x^2 + 8x + 5\)

So, the expression equivalent to \(-4x^2 + 2x - 5(1 + x)\) is \(4x^2 + 8x + 5.\)This expression matches the form \(x^2 + x + c,\) where c = 5.

It's important to note that the original expression and the equivalent expression have different coefficients and constants, but they represent the same mathematical relationship.

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Answer:

2,0?

Step-by-step explanation:

To do this, find your first derivative and then find where it is equal to zero. Because we are only concerned about the interval from -5 to 0, we only need to test points on that interval. (i really don't know hot to explain)

Answer:

ether:

y= 1/3 = 0.333

OR

y= 3/2 = 1.500

Assuming the track is straight, the distance at which they are apart one hour before they meet is; 30 km

We are told that a Nonstop trains leave Toronto and Montreal at the same time each day going to the other city along the main line.

Speed of Train 1 = 120 km/h

Speed of Train 2 = 90 km/h

Time spent by train 1 = 1 hour

Time spent train 2 = 1 hour

Formula for distance is;

Distance = Speed * time

If they leave the same time each day, it means that;

Distance of train 1 = 120 * 1 = 120 km

Distance of train 2 = 90 * 1 = 90 km

Thus, distance at which they will be apart before meeting each other is;

Distance apart = 120 - 90

Distance apart = 30 km

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The perpendicular distance x of Mount Krasha from the road is approximately 297.33 km.

One of the most significant areas of mathematics, trigonometry has a wide range of applications.

We can solve this problem using trigonometry. Let's draw a diagram to help us visualize the situation:

Let's let the point where the direction toward Mount Krasha makes an angle of 33 degrees with the road be point A, and let the point 16 km farther along the road where the angle is 35 degrees be point B. Let's also let the perpendicular distance from Mount Krasha to the road be x.

From the diagram, we can see that:

- The distance from point A to point B along the road is 16 km.

- The angle between the road and the perpendicular line from Mount Krasha to the road is (90 - 33) = 57 degrees at point A, and (90 - 35) = 55 degrees at point B.

Using trigonometry, we can set up two equations:

```

tan(57) = x / d     (where d is the distance from the starting point to point A)

tan(55) = x / (d + 16)   (where d + 16 is the distance from the starting point to point B)

```

We want to solve for x, so we can rearrange each equation to isolate x:

```

x = d * tan(57)

x = (d + 16) * tan(55)

```

Now we can set these two equations equal to each other and solve for d:

```

d * tan(57) = (d + 16) * tan(55)

d * 1.5403 = (d + 16) * 1.4281

1.5403d = 1.4281d + 22.8496

0.1122d = 22.8496

d = 203.76 km

```

Therefore, the distance from the starting point to point A is 203.76 km. We can now substitute this value into either equation for x to solve for x:

```

x = d * tan(57)

x = 203.76 km * tan(57°)

x ≈ 297.33 km

```

Therefore, the perpendicular distance x of Mount Krasha from the road is approximately 297.33 km.

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The minimal expression for the function xyz' + xy'z + xy'z' + x'yz + x'yz' + x'y'z is z'x + zxy' + x'xy'.

Karnaugh's map, also known as a K-map, is a graphical method used in Boolean algebra to simplify logical expressions and Boolean functions. It provides a systematic way to visualize and analyze the relationships between inputs and outputs in a truth table.

A Karnaugh map is represented as a grid or table, with each cell corresponding to a unique combination of input variables. The number of cells in the grid depends on the number of input variables in the Boolean function.

To minimize the expression xyz' + xy'z + xy'z' + x'yz + x'yz' + x'y'z using Boolean algebra, we can simplify it step by step using various Boolean laws and identities. Here's the process:

1. Group terms with common factors:

xyz' + xy'z + xy'z' + x'yz + x'yz' + x'y'z

= z'(xy + x'y') + z(xy' + x'y) + xyz'

= z'(x(y + y') + xy) + z(xy' + x'y) + xyz'

2. Apply the complement law: x + x' = 1

= z'(x + xy) + z(xy' + x'y) + xyz'

= z'x + z(xy' + x'y) + xyz'

3. Distribute z in the second term:

= z'x + zxy' + zx'y + xyz'

4. Group terms with common factors:

= z'x + zxy' + (zx'y + xyz')

= z'x + zxy' + (z + x')(xy')

5. Apply the distributive law: (A + B)(A + C) = A + BC

= z'x + zxy' + (z + x')(xy')

= z'x + zxy' + zxy' + x'xy'

= z'x + 2zxy' + x'xy'

6. Simplify the expression by removing the repeated terms:

= z'x + zxy' + x'xy'

Therefore, the minimal expression for the function xyz' + xy'z + xy'z' + x'yz + x'yz' + x'y'z is z'x + zxy' + x'xy'.

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Mr. Red's salary is an illustration of an arithmetic sequence

The recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

From the complete question, we have the explicit rule of Mr. Red's salary to be

an = 500n + 29500

Where:

The above means that:

The difference between a term and the next term is 500.

So, the recursive rule is:

an = an−1 + 500

Recall that:

a1 = 30000

Hence, the recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

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Answer:

I disagree.

Step-by-step explanation:

The reasoning may be wrong but I believe it is disagree.

I am going to keep it simple.

On the spinner there are 4 options, 3 for red and 1 for yellow.

Therefore, we have a 1/4 chance to get a yellow once.

If we get a yellow again, it is another. 1/4 chance.

1/4 x 1/4 is 1/16, considerably smaller than 1/3.

Answer:

From inspection of the diagram, we can see that the spinner is divided into 4 equal parts, where 3 parts are red and 1 part is yellow.

\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)

Therefore,

\(\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}\)

\(\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}\)

Multiplication Rule for Independent Events

For independent events A and B:

Therefore,

\(\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}\)

Ari is incorrect.  The spinner is divided into 4 parts, where only one part is yellow.  Therefore, the probability of spinning a yellow is 1/4.  As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows.  So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.

Answer: Choice C. 110ft

Step-by-step explanation:

Near a 30,60,90 triangle, multiply by \(\sqrt{3}\) to approximate the distance from point B to the tree.

Answer:

82

Step-by-step explanation:

I want to say 82 but i am not positive

Answer:

f(x)=56

Step-by-step explanation:

2(24)+8=56

There is a 30.85% chance that someone will have to wait longer than 6 minutes.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

z = (raw score - mean) / standard deviation

So,

We can write,

Mean of 6 minutes and variance = 1 minutes, hence:

Standard deviation = √variance = √1 = 1 minutes

For > 6 minutes:

z = (6 - 5)/2 = 1/2=0.5

P(z > 0.5) = 1 - P(z < 0.5)

P(z > 0.5) = 1 - 0.6915

P(z > 0.5) = 0.3085

Therefore,

There is a 30.85% chance that someone will have to wait longer than 6 minutes.

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False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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Answer:

The fraction that represents the addition model shown above will be 53/100.How to solve the fraction?From the information given, a grid with 10 equal columns is shown with 5 shaded in. This will be expressed as 5/10.Also, a second grid is shown, identical in size, containing 100 squares with 3 shaded in. This will be expressed as 3/100.Therefore, the problem that represents the addition model shown above will be:= 5/10 + 3/100= 50/100 + 3/100= 53/100In this case, the answer given by Emma is incorrect as he added 5 to 3 and got 8/100.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

-16 - (-2) = -14

-16+2 = -14

The weight of Franklin’s mountain bike in kilograms which  weighs 17,000 grams is equal to option A. 17 kilograms.

Weight of Franklin’s mountain bike  in grams is equal to 17,000 grams

Convert the grams into kilograms.

One kilograms is equal to one thousand grams

1 kilograms = 1000 grams

⇒ 1 grams = ( 1 / 1000 ) kilograms

⇒ 17,000 grams = ( 17,000 / 1000 ) kilograms

⇒ 17,000 grams = 17 kilograms

Therefore, after converting grams into kilograms the weight of Franklin’s mountain bike whose weight in grams is 17,000 grams  is equal to option A. 17 kilograms.

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Answer:

If the given height of the highway is 50k and if they have given 1m=3.28feet, we need to multiply the given meters with 3.28 to get the required answer

⇒50×3.28=164

∴The required value is 164 feet.

A)an = 2*2^(n-1)`. B) `The sum of the first n fractions is `2*(2^n - 1)`.

a. The sequence is a geometric sequence with the first term `a1 = 2` and common ratio `r = 2`.Therefore, the nth term `an` is given by:`an = a1*r^(n-1)`

Substituting `a1 = 2` and `r = 2`, we have:`an = 2*2^(n-1)`

b. To find the sum of the first n terms, we use the formula for the sum of a geometric series:`S_n = a1*(1 - r^n)/(1 - r)

`Substituting `a1 = 2` and `r = 2`, we have:`S_n = 2*(1 - 2^n)/(1 - 2)

`Simplifying:`S_n = 2*(2^n - 1)

`The sum of the first n fractions is `2*(2^n - 1)`.As `n` gets larger and larger, the sum approaches `infinity`.

Thus, the sum is getting closer and closer to infinity.

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Answer: 7%

(Hope this is right.)

Step-by-step explanation:

Let's solve this using the information we have and an equation.

Shane: $32,000 - (Given)

Theresa: 18,000+14x, if x=1,160 - (Given)

---------------------------------------------------------------

Step two: (Theresa) 14(1,160) =16,240 (Algebra)

Step three: (Theresa) 18,000+16,240=34,240 (Algebra, given.) - cost of Theresa's car.

---------------------------------------------------------------

Finally,

They're asking for how much more she paid for her car as a percentage of what Shane paid.

34,240-32,000=2,240 and

2,240/32,000=0.07

0.07x100=7

Answer 7% more than what Shane paid.

Answer:

15

Step-by-step explanation:

sqrt 230 = 15.165...

The equation provided is: ρ²(sin²(φ)sin²(θ) + cos²(φ)) = 16, This equation is in spherical coordinates,

where ρ represents the radial distance from the origin, φ is the polar angle (or the angle between the positive z-axis and the vector), and θ is the azimuthal angle (or the angle between the positive x-axis and the projection of the vector onto the xy-plane).

Now, let's analyze the equation further: 1. Divide both sides of the equation by 16 to isolate ρ²: ρ² = 16 / (sin²(φ)sin²(θ) + cos²(φ)) 2. Take the square root of both sides to find ρ: ρ = √(16 / (sin²(φ)sin²(θ) + cos²(φ))).

From this, we can see that the surface is defined by the radial distance ρ, which depends on the angles φ and θ. This indicates that the given equation represents a 3-dimensional surface in spherical coordinates.

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Answer:

Plane A / 7.62 mi away

Step-by-step explanation:

We have to calculate the distance of each plane from the airport.

In other to do this, we would use the trigonometric function of Sine

sin θ = Opposite/Hypotenuse

For Plane A

Plane A departs at a 41° angle from the runway

sin θ = Opposite/Hypotenuse

θ = 41°

Distance from the ground = Opposite = 5 miles

Hypotenuse = ???

sin 41° = 5 miles/Hypotenuse

sin 41° × Hypotenuse = 5 miles

Hypotenuse = 5 miles/sin 41°

Hypotenuse = 7.6212654335 miles

Approximately to the nearest hundredth ≈ 7.62 miles

For Plane B

Plane B departs at a 43° from the runway

sin θ = Opposite/Hypotenuse

θ = 43°

Distance from the ground = Opposite = 5 miles

Hypotenuse = ???

sin 43° = 5 miles/Hypotenuse

sin 43° × Hypotenuse = 5 miles

Hypotenuse = 5 miles/sin 43°

Hypotenuse = 7.3313959282 miles

Approximately to the nearest hundredth ≈ 7.33 miles

From the above calculation, we can see that Plane A what 7.62 miles away from the airport while Plane b was 7.33 miles away from the airport.

Therefore Plane A was farther away from the airport (7.62 miles away) when it was 5 miles from the ground.

Answer:

Plane A / 7.62 mi away

Step-by-step explanation:

I got it right on the test

Nantucket Subaru will report $1,125 of interest revenue on its income statement for the fiscal year ended December 31st, 2022. We can calculate it in the following manner.

To calculate the amount of interest revenue that Nantucket Subaru will report on its income statement, we need to use the following formula:

Interest = Principal x Rate x Time

Where:

Principal is the amount of the note receivable, which is $6,000

Rate is the annual interest rate, which is 15%

Time is the time period, which is 13/12 of a year (since the note is for 13 months)

So, plugging in the values, we get:

Interest = $6,000 x 0.15 x (13/12)

Interest = $1,125

Therefore, Nantucket Subaru will report $1,125 of interest revenue on its income statement for the fiscal year ended December 31st, 2022.

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